14(x-7)=14*20-14*7

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Solution for 14(x-7)=14*20-14*7 equation: 


Simplifying
14(x + -7) = 14 * 20 + -14 * 7

Reorder the terms:
14(-7 + x) = 14 * 20 + -14 * 7
(-7 * 14 + x * 14) = 14 * 20 + -14 * 7
(-98 + 14x) = 14 * 20 + -14 * 7

Multiply 14 * 20
-98 + 14x = 280 + -14 * 7

Multiply -14 * 7
-98 + 14x = 280 + -98

Combine like terms: 280 + -98 = 182
-98 + 14x = 182

Solving
-98 + 14x = 182

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '98' to each side of the equation.
-98 + 98 + 14x = 182 + 98

Combine like terms: -98 + 98 = 0
0 + 14x = 182 + 98
14x = 182 + 98

Combine like terms: 182 + 98 = 280
14x = 280

Divide each side by '14'.
x = 20

Simplifying
x = 20

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